x^2-68x-64380=0

Solution for x^2-68x-64380=0 equation:

x^2-68x-64380=0

a = 1; b = -68; c = -64380;
Δ = b2-4ac
Δ = -682-4·1·(-64380)
Δ = 262144
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{262144}=512$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-68)-512}{2*1}=\frac{-444}{2}
=-222
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-68)+512}{2*1}=\frac{580}{2}
=290
$